EINLADUNG
im Rahmen des Seminars in Geometric Analysis and Physics
(GAP Seminar)
zum Vortrag
von
Alex Gottlieb
(WPI, Vienna)
über
Geometry of the Hilbert space for three
fermions with six single-particle states
Abstract: The Hilbert space for a single particle with six basic quantum states is the standard 6dimensional complex space V, and the Hilbert space for a system of three fermions with six single-particle states is the (alternating) tensor product space V^V^V, a 20-dimensional space. The
simplest vectors in V^V^V are "decomposable" wedge products of three vectors from V. Every
vector in V^V^V can be written as a sum of three decomposables, and most can be written as a
sum of just two. Every vector in V^V^V can be written -- in various ways -- as a linear combinati on of at most five decomposable wedge products of vectors drawn from a single orthonormal basis of V. These multilinear algebraic properties of vectors in V^V^V are related to the geometry
of that space.
Zeit: Freitag, 08.04.2016, 11:30 – 13:00
Ort: SR 11, 2. Stock
Oskar-Morgenstern-Platz 1, 1090 Wien
gez.: M. Bauer, V. Branding (Fak. Math, TU)
D. Fajman, J. Joudioux (Fak. Phys, UniVie)
B. Schoerkhuber (Fak. Math, UniVie)

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